A Unified Theory of Navigable Reality and the Planta Smart Homes Deployable Dwelling Protocol

We present the Architecture of Freedom Intelligence (AFI) — a meta-physical and engineering framework proposing that Path Availability, not force, field, or particle, is the first condition of reality. The governing expression FREEDOM = (Perception / Distortion)^alpha_infinity, where alpha_infinity = e^(1/e) ≈ 1.4447 via Lambert W fixed-point analysis, unifies navigability across ten scientific domains covering 174 verified physical laws. This paper does not compete with particle physics; it offers a design-level substrate from which physics emerges as the crystallization of available paths.

The Planta Deployable Dwelling Protocol operationalises this theory as a 15 kg vacuum-sealed Seed package enabling a single untrained person to deploy a structural earth-geopolymer dwelling sourced from local soil, achieving 15–40 MPa compressive strength (CI:0.70) via alkaline activation chemistry over 24–72 hours, at a projected cost of €45–120/m² at scale (CI:0.55). Five construction phases — Seed → Fluid → Form → Solid → Seed — mirror the AFI ontological stack of Freedom → Logic → Relationships → Physical. Deconstruction is achieved mechanically via pre-embedded Dyneema SK75 UHMWPE cord networks, not acoustic liquefaction, which is thermodynamically prohibited for cured geopolymer matrices.

Computational validation employs LAMMPS, HOOMD-blue, FEniCSx, PySR, PySINDy, Taichi, and React Three Fiber on Deucalion HPC (MACC, Guimarães). Forty extreme operational scenarios spanning seismic, aerodynamic, thermal, ballistic, and social loading cases demonstrate autonomous PlantaOS resilience. The Appendix embeds all 174 equations as a formal derivation register.